GCD of 352, 390, 566, 796 Calculator

Given Input numbers are 352, 390, 566, 796

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 352, 390, 566, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 390, 566, 796 is 2.

Therefore, GCD of numbers 352, 390, 566, 796 is 2

Given Input Data is 352, 390, 566, 796

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 566 is 2 x 283

Prime Factorization of 796 is 2 x 2 x 199

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(352, 390) = 68640

GCD(352, 390) = ( 352 x 390 ) / 68640

GCD(352, 390) = 137280 / 68640

GCD(352, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 352, 390, 566, 796 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 352, 390, 566, 796?

GCD of 352, 390, 566, 796 is 2

2. Where do I get the detailed procedure to find GCD of 352, 390, 566, 796?

You can find a detailed procedure to find GCD of 352, 390, 566, 796 on our page.

3. How to find GCD of 352, 390, 566, 796 on a calculator?

You can find the GCD of 352, 390, 566, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.